A periodic single species model with intermittent unilateral diffusion in two patches

被引：3

作者：

Li, Hong-Li ^{[1
]}

Zhang, Long ^{[1
]}

Teng, Zhidong ^{[1
]}

Jiang, Yao-Lin ^{[1
,2
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

[2] Xi An Jiao Tong Univ, Dept Math, Xian 710049, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2017年 / 53卷 / 1-2期

关键词：

Intermittent unilateral diffusion; Poincare mapping; yapunov function approach; Periodic solution; Global attractivity; Extinction; PREDATOR-PREY SYSTEM; IMPULSIVE DIFFUSION; VOLTERRA MODELS; PERMANENCE; ENVIRONMENT; DISPERSAL; EXTINCTION; STABILITY; DYNAMICS;

D O I：

10.1007/s12190-015-0965-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a periodic single species model with intermittent unilateral diffusion in two patches. By using analytic method, Poincare mapping, Lyapunov function approach, sufficient and necessary conditions on the existence, uniqueness and global attractivity of positive periodic solution and the extinction of species for the considered system are established. Two examples and numerical simulations are presented to validate our theoretical results.

引用

页码：223 / 244

页数：22

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